21400253200 has 30 divisors (see below), whose sum is σ = 51414109274. Its totient is φ = 8560101120.

The previous prime is 21400253159. The next prime is 21400253257. The reversal of 21400253200 is 235200412.

It can be written as a sum of positive squares in 3 ways, for example, as 140280336 + 21259972864 = 11844^2 + 145808^2 .

It is a super-2 number, since 2×21400253200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26749917 + ... + 26750716.

Almost surely, 2^21400253200 is an apocalyptic number.

21400253200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21400253200 is an abundant number, since it is smaller than the sum of its proper divisors (30013856074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21400253200 is a wasteful number, since it uses less digits than its factorization.

21400253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53500651 (or 53500640 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 21400253200 its reverse (235200412), we get a palindrome (21635453612).

The spelling of 21400253200 in words is "twenty-one billion, four hundred million, two hundred fifty-three thousand, two hundred".